5. Consider the following data on real GDP per capital in Hong Kong ------- a. Calculate the percentage growth rates in real GDP per capita in each ofthe years 2011 through 2014, from the previous year. b. Now, instead of calculating the annual percentage growth rates in the years 2011 through 2014 directly, use as an approximation {lnytlnyt1}*100, where yt is the real per capita GDP in year t. How close does this approximation come to the actual growth rates to calculated in part a? c. Use only the real GDP per capita in the years 1960 and 2014 and compute: i] Accumulative growth rate for the period. ii} Approximate the cumulative growth rate using the log approximation [lny2014lny1960]*100 iii) How large an error do you make by approximating the growth rate by the change in the natural log? Why is there a difference here relative to parts a. and b.? iv} The annual average growth rate